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Thesis

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Lombos Avenue, San Isidro, Parañaque City www.patts.edu.ph -------------------------------------------------

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VISION
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To become the Centre of Excellence in aviation education
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MISSION
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a. To provide quality aviation education and
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b. To help our graduates in the labor market

BASIC STUDIES EDUCATIONAL OBJECTIVES | Mission | | a | b | 1. To provide students with a good and solid foundation in mathematics, basic engineering sciences, engineering drawing, physics, general chemistry and other branches of natural sciences and to apply knowledge to aviation and other related discipline. | √ | √ | 2. To develop communicative skills in listening, speaking, reading, writing and graphics communication pertaining to technical drawing interpretation. | √ | √ | 3. To teach and train students the importance of humanistic values and respect of cultural differences through humanities and social sciences. | √ | √ | 4. To impart high ethical standards to the students through assimilation and incorporation in the learning activities. | √ | √ | 5. To infuse students with enhanced computer concepts and expertise through incorporating competent applications and disciplines. | √ | √ | 6. To acquire the total human development according to its physical, mental, emotional, social aspects in promoting a healthy lifestyle. | √ | √ |

COURSE SYLLABUS

1. Course Code : MATH 121

2. Course Title : Analytic Geometry

3. Pre-Requisite : MATH 111, MATH 112

4. Co-Requisite : MATH 122, MATH 123

5. Credit/Class Schedule : 3 units

6. Course Description : Slope of a line; distance between two points; distance between a line and a point; equation of lines and conic sections; curve tracing in both rectangular and polar coordinates in two-dimensional spaces

7. Program Outcomes and Relationship to Basic Studies Educational Objectives PROGRAM OUTCOMES | Basic Studies Educational Objectives | | 1 | 2 | 3 | 4 | 5 | 6 | a. An ability to apply knowledge of mathematics, physical sciences, engineering sciences to the practice of aviation and aviation related programs. | √ | | | | √ | | b. An ability to design and conduct experiments to test hypotheses and verify assumptions, as well as to analyse and interpret data and to simulate processes. | √ | | | | √ | √ | c. An ability to design, improve, innovate, and to supervise systems or processes to meet desired needs within realistic constraints. | √ | | | | √ | | d. An ability to work effectively in multi-disciplinary and multi-cultural teams in diverse fields of practice. | | √ | √ | √ | | √ | e. An ability to identify, formulate, and solve aviation and aviation related program problems. | √ | | | | √ | | f. An understanding of the effects and impact of the aviation and aviation related program profession on the environment and the society, as well as the social and ethical responsibilities of the profession. | | √ | √ | √ | | √ | g. Specialized knowledge in at least one field of aviation and aviation-related practice, and the ability to apply such knowledge to provide solutions to actual problems. | √ | | | √ | √ | | h. An ability for effective oral and written communications particularly in the English language. | | √ | | | | | i. An ability to engage in life-long learning and to keep current of the development in a specific field of specialization. | √ | | | √ | | | j. An ability to use the appropriate techniques, skills and tools necessary for the practice of aviation and aviation related programs. | √ | | | | √ | | k. A knowledge of contemporary issues. | √ | | | | | | l. An ability to apply acquired aviation and aviation-related program knowledge and skills for national development. | √ | | | √ | | √ |

8. Course Objectives and Relationship to Program Outcomes:

Course Objectives | PROGRAM OUTCOMES | | a | b | c | d | e | f | g | h | i | j | k | l | 1. To convey principles of plane analytic geometry and its application to engineering problems related to aviation. | √ | √ | √ | | √ | | √ | | √ | √ | | | 2. To present and provide an understanding of logic by means of the different techniques and processes in solving problems. | √ | √ | √ | | √ | | √ | | √ | √ | | | 3. To be able to develop the students’ skills for independent critical thinking necessary to solve engineering problems. | √ | √ | √ | | √ | | √ | | √ | √ | | | 4. To inculcate in students the enthusiasm for knowledge and logic as set by the principles and activities undertaken in this course. | √ | √ | √ | | √ | | √ | | √ | √ | | |

9. Course Coverage

WEEK | TOPIC | METHODOLOGY | ASSESSMENT | 1 | Orientation and Introduction of the Course | Lecture and peer discussion | | | PATTS' Vision and Mission, Course objectives and outcomes, college policies and guidelines, Nature and Scope of the course | | | | Plane Analytic Geometry | | | | The Cartesian Plane | Lecture and discussion | Seatwork | 2 | Distance Formula and Point of Division Formulas | Lecture and peer discussion | Seatwork and homework | | Quiz No.1 | | | 3 | Inclination and Slope, Parallel and Perpendicular Lines | Lecture and discussion | Seatwork | 4 | Angle form One Line to Another | Lecture and discussion | Seatwork | | Quiz No.2 | | | 5 | The Line | Lecture and discussion | Seatwork | 6 | Point-Slope Form, Two-Point forms and Slope-Intercept Forms | Lecture and peer discussion | Seatwork and homework | | Distance from Point to a Line | Lecture and discussion | Seatwork | | PRELIM EXAM | 7 | The Circle | | | | The Standard Form for an Equation of a Circle | Lecture and discussion | Seatwork and homework | 8 | Conditions to Determine a Circle | Lecture and peer discussion | Seatwork | | Quiz No.1 | | | 9 | Conic Sections | Lecture and discussion | Seatwork and homework | | Introduction to Conic Sections | Lecture and peer discussion | Seatwork | | Quiz No.2 | | | 10 | The Parabola | Lecture and discussion | Seatwork | 11 | The Ellipse | Lecture and peer discussion | Seatwork and homework | | Quiz No.3 | | | 12 | The Hyperbola | Lecture and discussion | Seatwork and homework | | MIDTERM EXAM | 13 | Transformation of Coordinates | | | | Translation of Conic Sections | Lecture and discussion | Seatwork | | Quiz No.1 | | | | Curve Sketching | | | 14 | Symmetry and Intercepts | Lecture and discussion | Seatwork and homework | | Quiz No. 2 | Lecture and discussion | Seatwork and homework | 15 | Sketching Polynomial Equations | Lecture and peer discussion | Seatwork | 16 | Sketching Rational Functions | Lecture and discussion | Seatwork and homework | | Quiz No. 3 | | | 17 | Polar Coordinates | Lecture and discussion | Seatwork and homework | | Graphs of Polar Coordinates | Lecture and peer discussion | Seatwork and homework | | Relationship Between Rectangular and Polar Coordinates | Lecture and discussion | Seatwork and homework | 18 | FINAL EXAM |

10. Course Outcomes and Relationship to Course Objectives / Program Outcomes

Course Outcomes | Course Objectives | Program Outcomes | A Student completing this course should be at the minimum be able to: | 1 | 2 | 3 | 4 | a | b | c | d | e | f | g | h | i | j | k | l | 1. set up equations given enough properties of lines and conics | √ | √ | √ | √ | √ | √ | √ | | √ | | √ | | √ | √ | | | 2. draw the graph of a given equation of the line | √ | √ | √ | √ | √ | √ | √ | | √ | | √ | | √ | √ | | | 3. draw the graph of a given equation of the conic section | √ | √ | √ | √ | √ | √ | √ | | √ | | √ | | √ | √ | | | 4. analyse and trace completely the curve, given their equations both in rectangular and polar coordinate, in two-dimensional space | √ | √ | √ | √ | √ | √ | √ | | √ | | √ | | √ | √ | | |

11. Contribution to Course to Meeting the Professional Component:

General Education: 0% Engineering Topics: 0% Basic Sciences and Mathematics: 100%

12. Textbook: Fuller, Gordon and Dalton Tarwater. Analytic Geometry, 7th Ed. Addison-Wesley, 1993

References: Algebra and Trigonometry with Analytic Geometry, 13th Ed. by Jeffery A. Cole and Earl William Swokowski, 2012

Calculus and Analytic Geometry, 9th ed., Thomas and Finney, Addison-Wesley 1996

13. Course Evaluation

Final Course Grade = Prelim Grade + Midterm Grade + Final Grade3

Periodical Grade = 60% of Classwork + 40% of Periodical Exam

Classwork is composed of quizzes (30%), seat works (20%) and home works (10%) A minimum average of 3.0 from the grading periods is required for a passing grade

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